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Finding the Fourth Proportional to 6,026.88, 9,039.39 and 1,644.69

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Solution

The fourth proportional to 6,026.88, 9,039.39 and 1,644.69 is: 2,466.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.88 : 9,039.39 = 1,644.69 : x
  2. Step 2: Convert to fraction form
    6,026.88/9,039.39 = 1,644.69/x
  3. Step 3: Cross multiply
    6,026.88x = 9,039.39 × 1,644.69
  4. Step 4: Simplify right side
    6,026.88x = 14,866,994.34
  5. Step 5: Solve for x
    x = 14,866,994.34/6,026.88
  6. Step 6: Final answer
    x = 2,466.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.